Date of Submission
Open Access Senior Thesis
Bachelor of Arts
© 2014 Arvind Suresh
This project is concerned with the set of primes modulo which some monic, irreducible polynomial over the integers has a root, called the Prime Set of the polynomial. We completely characterise these sets for degree 2 polynomials, and develop sufficient machinery from algebraic number theory to show that if the Galois group of a monic, irreducible polynomial over the integers is abelian, then its Prime Set can be written as the union of primes in some congruence classes modulo some integer.
Suresh, Arvind, "On the Characterization of Prime Sets of Polynomials by Congruence Conditions" (2015). CMC Senior Theses. 993.